{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 计算&模拟&建模\n",
    "\n",
    "任务分为三个，分别是：\n",
    "\n",
    "1. 计算：单个资产的收益率(annualised)以及各个资产之间的协方差矩阵\n",
    "2. 模拟：MC模拟投资组合，画出对应的标准差-收益率图形(散点图)\n",
    "3. 建模：允许卖空和不允许卖空的有效前沿，构建标准差最小的投资组合；加入无风险资产，重新建模"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 0. 数据与工具准备"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pypfopt\n",
    "from pypfopt.expected_returns import mean_historical_return, log_returns_from_prices\n",
    "from pypfopt.risk_models import sample_cov, CovarianceShrinkage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pypfopt.plotting import plot_covariance, plot_efficient_frontier, plot_weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>000568.SZ</th>\n",
       "      <th>000858.SZ</th>\n",
       "      <th>002007.SZ</th>\n",
       "      <th>002032.SZ</th>\n",
       "      <th>0388.HK</th>\n",
       "      <th>0700.HK</th>\n",
       "      <th>1093.HK</th>\n",
       "      <th>1169.HK</th>\n",
       "      <th>1177.HK</th>\n",
       "      <th>2269.HK</th>\n",
       "      <th>300015.SZ</th>\n",
       "      <th>600009.SH</th>\n",
       "      <th>600161.SH</th>\n",
       "      <th>600519.SH</th>\n",
       "      <th>600809.SH</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>65.78</td>\n",
       "      <td>80.58</td>\n",
       "      <td>28.10</td>\n",
       "      <td>40.71</td>\n",
       "      <td>250.2</td>\n",
       "      <td>417.8</td>\n",
       "      <td>16.40</td>\n",
       "      <td>22.20</td>\n",
       "      <td>13.80</td>\n",
       "      <td>44.10</td>\n",
       "      <td>30.42</td>\n",
       "      <td>44.40</td>\n",
       "      <td>30.03</td>\n",
       "      <td>703.85</td>\n",
       "      <td>56.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>66.40</td>\n",
       "      <td>80.90</td>\n",
       "      <td>28.90</td>\n",
       "      <td>41.10</td>\n",
       "      <td>249.2</td>\n",
       "      <td>422.2</td>\n",
       "      <td>17.20</td>\n",
       "      <td>22.15</td>\n",
       "      <td>13.90</td>\n",
       "      <td>44.45</td>\n",
       "      <td>30.25</td>\n",
       "      <td>44.05</td>\n",
       "      <td>30.04</td>\n",
       "      <td>715.86</td>\n",
       "      <td>56.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>68.75</td>\n",
       "      <td>82.99</td>\n",
       "      <td>28.99</td>\n",
       "      <td>41.35</td>\n",
       "      <td>254.6</td>\n",
       "      <td>431.8</td>\n",
       "      <td>17.60</td>\n",
       "      <td>22.50</td>\n",
       "      <td>14.14</td>\n",
       "      <td>48.00</td>\n",
       "      <td>29.67</td>\n",
       "      <td>44.10</td>\n",
       "      <td>30.09</td>\n",
       "      <td>737.07</td>\n",
       "      <td>58.91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>68.05</td>\n",
       "      <td>82.68</td>\n",
       "      <td>28.60</td>\n",
       "      <td>41.11</td>\n",
       "      <td>253.2</td>\n",
       "      <td>433.2</td>\n",
       "      <td>17.46</td>\n",
       "      <td>22.45</td>\n",
       "      <td>13.80</td>\n",
       "      <td>50.40</td>\n",
       "      <td>31.50</td>\n",
       "      <td>44.15</td>\n",
       "      <td>29.76</td>\n",
       "      <td>738.36</td>\n",
       "      <td>58.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>68.45</td>\n",
       "      <td>82.20</td>\n",
       "      <td>28.47</td>\n",
       "      <td>40.59</td>\n",
       "      <td>262.0</td>\n",
       "      <td>438.6</td>\n",
       "      <td>17.76</td>\n",
       "      <td>23.45</td>\n",
       "      <td>14.10</td>\n",
       "      <td>49.25</td>\n",
       "      <td>33.63</td>\n",
       "      <td>43.03</td>\n",
       "      <td>29.44</td>\n",
       "      <td>752.13</td>\n",
       "      <td>57.36</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   000568.SZ  000858.SZ  002007.SZ  002032.SZ  0388.HK  0700.HK  1093.HK  \\\n",
       "0      65.78      80.58      28.10      40.71    250.2    417.8    16.40   \n",
       "1      66.40      80.90      28.90      41.10    249.2    422.2    17.20   \n",
       "2      68.75      82.99      28.99      41.35    254.6    431.8    17.60   \n",
       "3      68.05      82.68      28.60      41.11    253.2    433.2    17.46   \n",
       "4      68.45      82.20      28.47      40.59    262.0    438.6    17.76   \n",
       "\n",
       "   1169.HK  1177.HK  2269.HK  300015.SZ  600009.SH  600161.SH  600519.SH  \\\n",
       "0    22.20    13.80    44.10      30.42      44.40      30.03     703.85   \n",
       "1    22.15    13.90    44.45      30.25      44.05      30.04     715.86   \n",
       "2    22.50    14.14    48.00      29.67      44.10      30.09     737.07   \n",
       "3    22.45    13.80    50.40      31.50      44.15      29.76     738.36   \n",
       "4    23.45    14.10    49.25      33.63      43.03      29.44     752.13   \n",
       "\n",
       "   600809.SH  \n",
       "0      56.34  \n",
       "1      56.67  \n",
       "2      58.91  \n",
       "3      58.45  \n",
       "4      57.36  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('../data/parsedData.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 计算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu = mean_historical_return(df)\n",
    "S = sample_cov(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "000568.SZ    0.243688\n",
       "000858.SZ    0.378293\n",
       "002007.SZ    0.289389\n",
       "002032.SZ    0.285632\n",
       "0388.HK      0.105315\n",
       "0700.HK      0.074023\n",
       "1093.HK      0.087351\n",
       "1169.HK      0.083233\n",
       "1177.HK      0.150655\n",
       "2269.HK      0.579694\n",
       "300015.SZ    0.277663\n",
       "600009.SH    0.287796\n",
       "600161.SH    0.223646\n",
       "600519.SH    0.350333\n",
       "600809.SH    0.467954\n",
       "dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>000568.SZ</th>\n",
       "      <th>000858.SZ</th>\n",
       "      <th>002007.SZ</th>\n",
       "      <th>002032.SZ</th>\n",
       "      <th>0388.HK</th>\n",
       "      <th>0700.HK</th>\n",
       "      <th>1093.HK</th>\n",
       "      <th>1169.HK</th>\n",
       "      <th>1177.HK</th>\n",
       "      <th>2269.HK</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>000568.SZ</th>\n",
       "      <td>0.176166</td>\n",
       "      <td>0.145429</td>\n",
       "      <td>0.059672</td>\n",
       "      <td>0.074917</td>\n",
       "      <td>0.048316</td>\n",
       "      <td>0.058349</td>\n",
       "      <td>0.079480</td>\n",
       "      <td>0.068678</td>\n",
       "      <td>0.084305</td>\n",
       "      <td>0.088331</td>\n",
       "      <td>0.087082</td>\n",
       "      <td>0.073503</td>\n",
       "      <td>0.057415</td>\n",
       "      <td>0.106127</td>\n",
       "      <td>0.138573</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>000858.SZ</th>\n",
       "      <td>0.145429</td>\n",
       "      <td>0.167046</td>\n",
       "      <td>0.064199</td>\n",
       "      <td>0.072368</td>\n",
       "      <td>0.050851</td>\n",
       "      <td>0.058884</td>\n",
       "      <td>0.081337</td>\n",
       "      <td>0.069151</td>\n",
       "      <td>0.084725</td>\n",
       "      <td>0.089213</td>\n",
       "      <td>0.089412</td>\n",
       "      <td>0.071226</td>\n",
       "      <td>0.054483</td>\n",
       "      <td>0.110014</td>\n",
       "      <td>0.137727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>002007.SZ</th>\n",
       "      <td>0.059672</td>\n",
       "      <td>0.064199</td>\n",
       "      <td>0.235359</td>\n",
       "      <td>0.046788</td>\n",
       "      <td>0.025036</td>\n",
       "      <td>0.033813</td>\n",
       "      <td>0.068190</td>\n",
       "      <td>0.033320</td>\n",
       "      <td>0.073640</td>\n",
       "      <td>0.059895</td>\n",
       "      <td>0.087686</td>\n",
       "      <td>0.044787</td>\n",
       "      <td>0.094671</td>\n",
       "      <td>0.048960</td>\n",
       "      <td>0.067887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>002032.SZ</th>\n",
       "      <td>0.074917</td>\n",
       "      <td>0.072368</td>\n",
       "      <td>0.046788</td>\n",
       "      <td>0.137179</td>\n",
       "      <td>0.037085</td>\n",
       "      <td>0.040369</td>\n",
       "      <td>0.043883</td>\n",
       "      <td>0.046849</td>\n",
       "      <td>0.049011</td>\n",
       "      <td>0.052100</td>\n",
       "      <td>0.058422</td>\n",
       "      <td>0.047880</td>\n",
       "      <td>0.048354</td>\n",
       "      <td>0.053508</td>\n",
       "      <td>0.069520</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0388.HK</th>\n",
       "      <td>0.048316</td>\n",
       "      <td>0.050851</td>\n",
       "      <td>0.025036</td>\n",
       "      <td>0.037085</td>\n",
       "      <td>0.067549</td>\n",
       "      <td>0.058670</td>\n",
       "      <td>0.054537</td>\n",
       "      <td>0.049996</td>\n",
       "      <td>0.057914</td>\n",
       "      <td>0.056316</td>\n",
       "      <td>0.043046</td>\n",
       "      <td>0.033791</td>\n",
       "      <td>0.031803</td>\n",
       "      <td>0.040003</td>\n",
       "      <td>0.047176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0700.HK</th>\n",
       "      <td>0.058349</td>\n",
       "      <td>0.058884</td>\n",
       "      <td>0.033813</td>\n",
       "      <td>0.040369</td>\n",
       "      <td>0.058670</td>\n",
       "      <td>0.102319</td>\n",
       "      <td>0.069243</td>\n",
       "      <td>0.064973</td>\n",
       "      <td>0.071091</td>\n",
       "      <td>0.077884</td>\n",
       "      <td>0.048684</td>\n",
       "      <td>0.036586</td>\n",
       "      <td>0.035538</td>\n",
       "      <td>0.051724</td>\n",
       "      <td>0.053442</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1093.HK</th>\n",
       "      <td>0.079480</td>\n",
       "      <td>0.081337</td>\n",
       "      <td>0.068190</td>\n",
       "      <td>0.043883</td>\n",
       "      <td>0.054537</td>\n",
       "      <td>0.069243</td>\n",
       "      <td>0.225465</td>\n",
       "      <td>0.072228</td>\n",
       "      <td>0.179126</td>\n",
       "      <td>0.119961</td>\n",
       "      <td>0.099520</td>\n",
       "      <td>0.048628</td>\n",
       "      <td>0.060541</td>\n",
       "      <td>0.067686</td>\n",
       "      <td>0.080693</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1169.HK</th>\n",
       "      <td>0.068678</td>\n",
       "      <td>0.069151</td>\n",
       "      <td>0.033320</td>\n",
       "      <td>0.046849</td>\n",
       "      <td>0.049996</td>\n",
       "      <td>0.064973</td>\n",
       "      <td>0.072228</td>\n",
       "      <td>0.144135</td>\n",
       "      <td>0.078679</td>\n",
       "      <td>0.069264</td>\n",
       "      <td>0.063629</td>\n",
       "      <td>0.041113</td>\n",
       "      <td>0.030488</td>\n",
       "      <td>0.055118</td>\n",
       "      <td>0.068586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1177.HK</th>\n",
       "      <td>0.084305</td>\n",
       "      <td>0.084725</td>\n",
       "      <td>0.073640</td>\n",
       "      <td>0.049011</td>\n",
       "      <td>0.057914</td>\n",
       "      <td>0.071091</td>\n",
       "      <td>0.179126</td>\n",
       "      <td>0.078679</td>\n",
       "      <td>0.290329</td>\n",
       "      <td>0.127553</td>\n",
       "      <td>0.109088</td>\n",
       "      <td>0.054976</td>\n",
       "      <td>0.069685</td>\n",
       "      <td>0.068908</td>\n",
       "      <td>0.084974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2269.HK</th>\n",
       "      <td>0.088331</td>\n",
       "      <td>0.089213</td>\n",
       "      <td>0.059895</td>\n",
       "      <td>0.052100</td>\n",
       "      <td>0.056316</td>\n",
       "      <td>0.077884</td>\n",
       "      <td>0.119961</td>\n",
       "      <td>0.069264</td>\n",
       "      <td>0.127553</td>\n",
       "      <td>0.245462</td>\n",
       "      <td>0.076298</td>\n",
       "      <td>0.053319</td>\n",
       "      <td>0.054688</td>\n",
       "      <td>0.072324</td>\n",
       "      <td>0.089870</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>300015.SZ</th>\n",
       "      <td>0.087082</td>\n",
       "      <td>0.089412</td>\n",
       "      <td>0.087686</td>\n",
       "      <td>0.058422</td>\n",
       "      <td>0.043046</td>\n",
       "      <td>0.048684</td>\n",
       "      <td>0.099520</td>\n",
       "      <td>0.063629</td>\n",
       "      <td>0.109088</td>\n",
       "      <td>0.076298</td>\n",
       "      <td>0.260218</td>\n",
       "      <td>0.071388</td>\n",
       "      <td>0.066540</td>\n",
       "      <td>0.069786</td>\n",
       "      <td>0.095200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600009.SH</th>\n",
       "      <td>0.073503</td>\n",
       "      <td>0.071226</td>\n",
       "      <td>0.044787</td>\n",
       "      <td>0.047880</td>\n",
       "      <td>0.033791</td>\n",
       "      <td>0.036586</td>\n",
       "      <td>0.048628</td>\n",
       "      <td>0.041113</td>\n",
       "      <td>0.054976</td>\n",
       "      <td>0.053319</td>\n",
       "      <td>0.071388</td>\n",
       "      <td>0.131456</td>\n",
       "      <td>0.041910</td>\n",
       "      <td>0.056726</td>\n",
       "      <td>0.070877</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600161.SH</th>\n",
       "      <td>0.057415</td>\n",
       "      <td>0.054483</td>\n",
       "      <td>0.094671</td>\n",
       "      <td>0.048354</td>\n",
       "      <td>0.031803</td>\n",
       "      <td>0.035538</td>\n",
       "      <td>0.060541</td>\n",
       "      <td>0.030488</td>\n",
       "      <td>0.069685</td>\n",
       "      <td>0.054688</td>\n",
       "      <td>0.066540</td>\n",
       "      <td>0.041910</td>\n",
       "      <td>0.162417</td>\n",
       "      <td>0.041835</td>\n",
       "      <td>0.067280</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600519.SH</th>\n",
       "      <td>0.106127</td>\n",
       "      <td>0.110014</td>\n",
       "      <td>0.048960</td>\n",
       "      <td>0.053508</td>\n",
       "      <td>0.040003</td>\n",
       "      <td>0.051724</td>\n",
       "      <td>0.067686</td>\n",
       "      <td>0.055118</td>\n",
       "      <td>0.068908</td>\n",
       "      <td>0.072324</td>\n",
       "      <td>0.069786</td>\n",
       "      <td>0.056726</td>\n",
       "      <td>0.041835</td>\n",
       "      <td>0.107182</td>\n",
       "      <td>0.100592</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600809.SH</th>\n",
       "      <td>0.138573</td>\n",
       "      <td>0.137727</td>\n",
       "      <td>0.067887</td>\n",
       "      <td>0.069520</td>\n",
       "      <td>0.047176</td>\n",
       "      <td>0.053442</td>\n",
       "      <td>0.080693</td>\n",
       "      <td>0.068586</td>\n",
       "      <td>0.084974</td>\n",
       "      <td>0.089870</td>\n",
       "      <td>0.095200</td>\n",
       "      <td>0.070877</td>\n",
       "      <td>0.067280</td>\n",
       "      <td>0.100592</td>\n",
       "      <td>0.192287</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           000568.SZ  000858.SZ  002007.SZ  002032.SZ   0388.HK   0700.HK  \\\n",
       "000568.SZ   0.176166   0.145429   0.059672   0.074917  0.048316  0.058349   \n",
       "000858.SZ   0.145429   0.167046   0.064199   0.072368  0.050851  0.058884   \n",
       "002007.SZ   0.059672   0.064199   0.235359   0.046788  0.025036  0.033813   \n",
       "002032.SZ   0.074917   0.072368   0.046788   0.137179  0.037085  0.040369   \n",
       "0388.HK     0.048316   0.050851   0.025036   0.037085  0.067549  0.058670   \n",
       "0700.HK     0.058349   0.058884   0.033813   0.040369  0.058670  0.102319   \n",
       "1093.HK     0.079480   0.081337   0.068190   0.043883  0.054537  0.069243   \n",
       "1169.HK     0.068678   0.069151   0.033320   0.046849  0.049996  0.064973   \n",
       "1177.HK     0.084305   0.084725   0.073640   0.049011  0.057914  0.071091   \n",
       "2269.HK     0.088331   0.089213   0.059895   0.052100  0.056316  0.077884   \n",
       "300015.SZ   0.087082   0.089412   0.087686   0.058422  0.043046  0.048684   \n",
       "600009.SH   0.073503   0.071226   0.044787   0.047880  0.033791  0.036586   \n",
       "600161.SH   0.057415   0.054483   0.094671   0.048354  0.031803  0.035538   \n",
       "600519.SH   0.106127   0.110014   0.048960   0.053508  0.040003  0.051724   \n",
       "600809.SH   0.138573   0.137727   0.067887   0.069520  0.047176  0.053442   \n",
       "\n",
       "            1093.HK   1169.HK   1177.HK   2269.HK  300015.SZ  600009.SH  \\\n",
       "000568.SZ  0.079480  0.068678  0.084305  0.088331   0.087082   0.073503   \n",
       "000858.SZ  0.081337  0.069151  0.084725  0.089213   0.089412   0.071226   \n",
       "002007.SZ  0.068190  0.033320  0.073640  0.059895   0.087686   0.044787   \n",
       "002032.SZ  0.043883  0.046849  0.049011  0.052100   0.058422   0.047880   \n",
       "0388.HK    0.054537  0.049996  0.057914  0.056316   0.043046   0.033791   \n",
       "0700.HK    0.069243  0.064973  0.071091  0.077884   0.048684   0.036586   \n",
       "1093.HK    0.225465  0.072228  0.179126  0.119961   0.099520   0.048628   \n",
       "1169.HK    0.072228  0.144135  0.078679  0.069264   0.063629   0.041113   \n",
       "1177.HK    0.179126  0.078679  0.290329  0.127553   0.109088   0.054976   \n",
       "2269.HK    0.119961  0.069264  0.127553  0.245462   0.076298   0.053319   \n",
       "300015.SZ  0.099520  0.063629  0.109088  0.076298   0.260218   0.071388   \n",
       "600009.SH  0.048628  0.041113  0.054976  0.053319   0.071388   0.131456   \n",
       "600161.SH  0.060541  0.030488  0.069685  0.054688   0.066540   0.041910   \n",
       "600519.SH  0.067686  0.055118  0.068908  0.072324   0.069786   0.056726   \n",
       "600809.SH  0.080693  0.068586  0.084974  0.089870   0.095200   0.070877   \n",
       "\n",
       "           600161.SH  600519.SH  600809.SH  \n",
       "000568.SZ   0.057415   0.106127   0.138573  \n",
       "000858.SZ   0.054483   0.110014   0.137727  \n",
       "002007.SZ   0.094671   0.048960   0.067887  \n",
       "002032.SZ   0.048354   0.053508   0.069520  \n",
       "0388.HK     0.031803   0.040003   0.047176  \n",
       "0700.HK     0.035538   0.051724   0.053442  \n",
       "1093.HK     0.060541   0.067686   0.080693  \n",
       "1169.HK     0.030488   0.055118   0.068586  \n",
       "1177.HK     0.069685   0.068908   0.084974  \n",
       "2269.HK     0.054688   0.072324   0.089870  \n",
       "300015.SZ   0.066540   0.069786   0.095200  \n",
       "600009.SH   0.041910   0.056726   0.070877  \n",
       "600161.SH   0.162417   0.041835   0.067280  \n",
       "600519.SH   0.041835   0.107182   0.100592  \n",
       "600809.SH   0.067280   0.100592   0.192287  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa4c5dc4940>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_covariance(S, filename=\"../pics/covplot.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 模拟"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们首先写个生成随机权重的工具，下面的`genRandomWeights`函数生成$n$个权重$w_i$, 且保证$\\sum_{i=1}^{n}w_i = 1$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def genRandomWeights(n):\n",
    "    nums = [random.randint(1, 100) for _ in range(n)]\n",
    "    total = sum(nums)\n",
    "    return [num / total for num in nums]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def MC(n):\n",
    "    expectedReturn = []\n",
    "    volatility = []\n",
    "    for _ in range(n):\n",
    "        ws = genRandomWeights(15)\n",
    "        er, v, _ = pypfopt.base_optimizer.portfolio_performance(ws, mu, S)\n",
    "        expectedReturn.append(er)\n",
    "        volatility.append(v)\n",
    "    df = pd.DataFrame()\n",
    "    fig = plt.figure(figsize=(14, 8))\n",
    "    df['volatility'] = volatility\n",
    "    df['expectedReturn'] = expectedReturn\n",
    "    df.sort_values(by='volatility')\n",
    "    plt.plot(volatility, expectedReturn, 'ko', alpha=0.2)\n",
    "    plt.xlabel('Volatility')\n",
    "    plt.ylabel('Return')\n",
    "    plt.savefig('../pics/MC.png', dpi=300)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "MC(5000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. 建模"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1 马科维茨"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3.1.1 马科维茨-允许卖空"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "cla1 = pypfopt.cla.CLA(mu, S, weight_bounds=(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OrderedDict([('000568.SZ', -0.05763645569151581),\n",
       "             ('000858.SZ', -0.16708291181197776),\n",
       "             ('002007.SZ', 0.06951839947284215),\n",
       "             ('002032.SZ', 0.113392427206716),\n",
       "             ('0388.HK', 0.4813793587676724),\n",
       "             ('0700.HK', 0.015736512881812013),\n",
       "             ('1093.HK', 0.004530452483428538),\n",
       "             ('1169.HK', 0.0743701658141564),\n",
       "             ('1177.HK', -0.035406610800801416),\n",
       "             ('2269.HK', -0.016752816770184163),\n",
       "             ('300015.SZ', -0.009318260263883705),\n",
       "             ('600009.SH', 0.14484962439835183),\n",
       "             ('600161.SH', 0.10311272175334169),\n",
       "             ('600519.SH', 0.30886471896998274),\n",
       "             ('600809.SH', -0.029557326409940573)])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla1.min_volatility()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa4c2fad240>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_efficient_frontier(cla1, filename=\"../pics/马科维茨-允许卖空.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.1751908237034943, 0.21865317764863756, 0.7097579160403357)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla1.portfolio_performance()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "expected return=0.175, volatility=0.219"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3.1.2 马科维茨-不允许卖空"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "cla2 = pypfopt.cla.CLA(mu, S, weight_bounds=(0, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OrderedDict([('000568.SZ', 0.0),\n",
       "             ('000858.SZ', 0.0),\n",
       "             ('002007.SZ', 0.05974288273502094),\n",
       "             ('002032.SZ', 0.09081567227463302),\n",
       "             ('0388.HK', 0.4723133223963647),\n",
       "             ('0700.HK', 0.019896703915597745),\n",
       "             ('1093.HK', 0.0),\n",
       "             ('1169.HK', 0.04880785722702579),\n",
       "             ('1177.HK', 0.0),\n",
       "             ('2269.HK', 0.0),\n",
       "             ('300015.SZ', 0.0),\n",
       "             ('600009.SH', 0.12481824366544407),\n",
       "             ('600161.SH', 0.09133457574177568),\n",
       "             ('600519.SH', 0.09227074204413839),\n",
       "             ('600809.SH', 0.0)])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla2.min_volatility()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa4c3686438>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_efficient_frontier(cla2, filename=\"../pics/马科维茨-不允许卖空.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.18717996536380205, 0.22624918690058, 0.7389196295201071)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla2.portfolio_performance()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "expected return=0.187 volatility=0.226"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 CAPM\n",
    "参考十年中债国开到期收益率，这里选择无风险利率为4%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu = pypfopt.expected_returns.capm_return(df, risk_free_rate=0.04)\n",
    "S = sample_cov(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "000568.SZ    0.302631\n",
       "000858.SZ    0.302576\n",
       "002007.SZ    0.243634\n",
       "002032.SZ    0.211317\n",
       "0388.HK      0.176956\n",
       "0700.HK      0.208066\n",
       "1093.HK      0.303446\n",
       "1169.HK      0.226527\n",
       "1177.HK      0.329485\n",
       "2269.HK      0.299926\n",
       "300015.SZ    0.298663\n",
       "600009.SH    0.211304\n",
       "600161.SH    0.219005\n",
       "600519.SH    0.244920\n",
       "600809.SH    0.306209\n",
       "Name: mkt, dtype: float64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mu"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2.1 CAPM-允许卖空"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "ef = pypfopt.efficient_frontier.EfficientFrontier(mu, S, weight_bounds=(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OrderedDict([('000568.SZ', -0.0576364556915161),\n",
       "             ('000858.SZ', -0.1670829118119769),\n",
       "             ('002007.SZ', 0.0695183994728421),\n",
       "             ('002032.SZ', 0.1133924272067159),\n",
       "             ('0388.HK', 0.4813793587676723),\n",
       "             ('0700.HK', 0.015736512881812),\n",
       "             ('1093.HK', 0.0045304524834286),\n",
       "             ('1169.HK', 0.0743701658141564),\n",
       "             ('1177.HK', -0.0354066108008015),\n",
       "             ('2269.HK', -0.0167528167701842),\n",
       "             ('300015.SZ', -0.0093182602638838),\n",
       "             ('600009.SH', 0.1448496243983519),\n",
       "             ('600161.SH', 0.1031127217533417),\n",
       "             ('600519.SH', 0.308864718969982),\n",
       "             ('600809.SH', -0.0295573264099406)])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ef.min_volatility()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.17989201256053722, 0.21865317764863743, 0.6397895245105255)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ef.portfolio_performance(risk_free_rate=0.04)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "CLA求解的答案是一样的(这里再算一遍做检验),同时做有效前沿的图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "cla3 = pypfopt.cla.CLA(mu, S, weight_bounds=(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OrderedDict([('000568.SZ', -0.05763645569151627),\n",
       "             ('000858.SZ', -0.16708291181197726),\n",
       "             ('002007.SZ', 0.06951839947284216),\n",
       "             ('002032.SZ', 0.11339242720671615),\n",
       "             ('0388.HK', 0.48137935876767257),\n",
       "             ('0700.HK', 0.01573651288181219),\n",
       "             ('1093.HK', 0.004530452483428349),\n",
       "             ('1169.HK', 0.07437016581415629),\n",
       "             ('1177.HK', -0.03540661080080148),\n",
       "             ('2269.HK', -0.016752816770184184),\n",
       "             ('300015.SZ', -0.009318260263883795),\n",
       "             ('600009.SH', 0.144849624398352),\n",
       "             ('600161.SH', 0.10311272175334177),\n",
       "             ('600519.SH', 0.30886471896998235),\n",
       "             ('600809.SH', -0.02955732640994025)])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla3.min_volatility()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.17989201256053736, 0.21865317764863762, 0.6397895245105256)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla3.portfolio_performance(risk_free_rate=0.04)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa4c0e1ae10>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_efficient_frontier(cla3, filename=\"../pics/CAPM-允许卖空.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2.2 CAPM-不允许卖空"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "ef = pypfopt.efficient_frontier.EfficientFrontier(mu, S, weight_bounds=(0, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OrderedDict([('000568.SZ', 0.0),\n",
       "             ('000858.SZ', 0.0),\n",
       "             ('002007.SZ', 0.059742882735021),\n",
       "             ('002032.SZ', 0.0908156722746329),\n",
       "             ('0388.HK', 0.4723133223963643),\n",
       "             ('0700.HK', 0.0198967039155978),\n",
       "             ('1093.HK', 0.0),\n",
       "             ('1169.HK', 0.0488078572270257),\n",
       "             ('1177.HK', 0.0),\n",
       "             ('2269.HK', 0.0),\n",
       "             ('300015.SZ', 0.0),\n",
       "             ('600009.SH', 0.1248182436654441),\n",
       "             ('600161.SH', 0.0913345757417756),\n",
       "             ('600519.SH', 0.0922707420441385),\n",
       "             ('600809.SH', 0.0)])"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ef.min_volatility()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.2014974105818747, 0.22624918690057988, 0.7138032750271986)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ef.portfolio_performance(risk_free_rate=0.04)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "CLA求解并做图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "cla4 = pypfopt.cla.CLA(mu, S, weight_bounds=(0, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OrderedDict([('000568.SZ', 0.0),\n",
       "             ('000858.SZ', 0.0),\n",
       "             ('002007.SZ', 0.05974288273502095),\n",
       "             ('002032.SZ', 0.09081567227463294),\n",
       "             ('0388.HK', 0.4723133223963646),\n",
       "             ('0700.HK', 0.01989670391559784),\n",
       "             ('1093.HK', 0.0),\n",
       "             ('1169.HK', 0.048807857227025846),\n",
       "             ('1177.HK', 0.0),\n",
       "             ('2269.HK', 0.0),\n",
       "             ('300015.SZ', 0.0),\n",
       "             ('600009.SH', 0.12481824366544408),\n",
       "             ('600161.SH', 0.09133457574177568),\n",
       "             ('600519.SH', 0.0922707420441384),\n",
       "             ('600809.SH', 0.0)])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla4.min_volatility()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.2014974105818748, 0.22624918690058, 0.7138032750271986)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cla4.portfolio_performance(risk_free_rate=0.04)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa4c0d07a20>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_efficient_frontier(cla4, filename=\"../pics/CAPM-不允许卖空.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ML",
   "language": "python",
   "name": "ml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
